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Finding the Fourth Proportional to 195,072.54, 269,200.44 and 105,648.54

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Solution

The fourth proportional to 195,072.54, 269,200.44 and 105,648.54 is: 145,795.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,072.54 : 269,200.44 = 105,648.54 : x
  2. Step 2: Convert to fraction form
    195,072.54/269,200.44 = 105,648.54/x
  3. Step 3: Cross multiply
    195,072.54x = 269,200.44 × 105,648.54
  4. Step 4: Simplify right side
    195,072.54x = 28,440,633,453.36
  5. Step 5: Solve for x
    x = 28,440,633,453.36/195,072.54
  6. Step 6: Final answer
    x = 145,795.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.